1313129902961 has 2 divisors, whose sum is σ = 1313129902962. Its totient is φ = 1313129902960.

The previous prime is 1313129902951. The next prime is 1313129902979. The reversal of 1313129902961 is 1692099213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1307235502336 + 5894400625 = 1143344^2 + 76775^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313129902961 - 2⁶ = 1313129902897 is a prime.

It is a super-3 number, since 3×1313129902961³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1313129902901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656564951480 + 656564951481.

It is an arithmetic number, because the mean of its divisors is an integer number (656564951481).

Almost surely, 2^{1313129902961} is an apocalyptic number.

It is an amenable number.

1313129902961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313129902961 is an equidigital number, since it uses as much as digits as its factorization.

1313129902961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157464, while the sum is 47.

The spelling of 1313129902961 in words is "one trillion, three hundred thirteen billion, one hundred twenty-nine million, nine hundred two thousand, nine hundred sixty-one".